Finding Slope — Cheat sheet

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From two points

m=y2−y1x2−x1m=\dfrac{y_2-y_1}{x_2-x_1}. Keep the subtraction order consistent.

From an equation

Rewrite as y=mx+by=mx+b, or use m=−abm=-\dfrac{a}{b} for ax+by+c=0ax+by+c=0.

From inclination

m=tan⁡(α)m=\tan(\alpha), where α\alpha is measured counterclockwise from the positive xx-axis.

Special lines

Horizontal lines have slope 00. Vertical lines have undefined slope.